A
Ф
Ф
center of triangle ABC.
30° R
15
в
What is m/QOB?
0000
30°
60°
75°
90°

Answer: [tex]33.56^{\circ}[/tex]

Step-by-step explanation:

[tex]\sin \alpha=\frac{\sqrt{11}}{6}}\\\\\alpha=\sin^{-1} \left(\frac{\sqrt{11}}{6}} \right)\\\\\alpha \approx 33.56^{\circ}[/tex]

Answer:

33.56

Step-by-step explanation:

The constant of proportionality of the given graph is gotten as 4.

The constant of proportionality here is simply the slope of the graph.

Now, we will take two points and use their coordinates to find the slope from the formula;

m = (y2 - y1)/(x2 - x1)

Let us pick 2 points which are;

(1, 4) and (2, 8). Thus;

m = (8 - 4)/(2 - 1)

m = 4/1

m = 4

Thus, the constant of proportionality of the graph is gotten as 4.

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Answer:

OA=4x²-19

Step-by-step explanation:

4(x²-5)+1

4x²-19

Answer:

[-7, + ∞)    is domain

Step-by-step explanation:

Domain    is all of the 'x' values a function has

  this one goes from   -7 to + inf

Answer:

The answer is x= -15

The solution of the equation is union of  x = a(π/2) where a = 1,2,3......∞ and x = n(π) where n = 1,3,5,7.......∞.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable.

sin²x = cosx + 1

1 - cos²x = cosx + 1

cos²x + cosx = 0

cosx(cosx + 1) = 0

When cosx = 0

x = a(π/2) where a = 1,2,3......∞

When cosx = -1

x = n(π) where n = 1,3,5,7.......∞

Hence the solution of the equation will be the union of x = a(π/2) where a = 1,2,3......∞ and x = n(π) where n = 1,3,5,7.......∞.

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The number of hours it would take to make 450 wackiest widgets is 4 hours 30 minutes.

The first step is to determine how many minutes it would take to make 1 widget.

Minutes it would take to make 1 widget ; 90 / 120 = 3 / 4 minutes

Number of minutes it would take to make 450 widgets: 3/4 x 450 = 270 minutes

Now convert minutes to hours : 270 / 60 = 4 hours 30 minutes

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Por descomposición factorial y el concepto de máximo común divisor, se tiene que cada trozo de cuerda debe medir 6 metros y que se debe preparar cinco trozos.

En este problema debemos determinar la cantidad de segmentos de cuerda de igual y máxima longitud, la cual puede ser hallado por descomposición factorial a los números asociados a las longitudes:

18 = 2 × 3²

12 = 2² × 3

La máxima longitud posible se obtiene mediante el máximo común divisor, es decir, se encuentra que la máxima longitud es 2 × 3 = 6 metros. Por último, la cantidad de trozos iguales es:

x = (18 m + 12 m)/6 m

x = 30 m/6 m

x = 5

Por descomposición factorial y el concepto de máximo común divisor, se tiene que cada trozo de cuerda debe medir 6 metros y que se debe preparar cinco trozos.

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The parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)

The parent function is given as:

f(x) = x^2

The parabolas are given as:

y = f(x - 4), y = f(x + 3), y = f(x - 7), y = f(x + 2) and f = (x - 1/2)

The transformation from the parent function to each of the parabola is a horizontal translation.

This means that the y coordinate of their vertices are the same.

Arrange the parabolas starting from the left translations

y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)

Hence, the parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)

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The distance apart of the two guy wire is 187.7 metres

The distance apart of the two wires can be found using trigonometric ratios.

Therefore,

tan ∅ = opposite / adjacent

Therefore,

tan 13 = 27 / x

x = 27 / tan 13 = 27 / 0.23086819112 = 117.391304348

tan 21 = 27 / y

y = 27 / tan 21

y = 70.338144115

Therefore,

distance apart of the guy wire = 117.391304348 + 70.338144115 = 187.728144115 = 187.7 metres

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Answer: Its A and A

Step-by-step explanation: I did the question

The statement and reason that complete the flowchart proof are:

1. ∠BDE ≅ ∠BAC

2. Corresponding angles postulate.

The corresponding angles postulate states that two angles that correspond to each other are congruent angles.

In the given flowchart proof, ∠BDE and ∠BAC are corresponding angles, So, they are congruent by the corresponding angles postulate.

Therefore, the missing statement and reason are:

1. ∠BDE ≅ ∠BAC

2. Corresponding angles postulate.

The remaining part of the question is

"In ΔABC shown below, BD over BA equals BE over BC:

Triangle ABC with segment DE intersecting sides AB and BC respectively.

Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side.

Which reason can be used to fill in the numbered blank space?"

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Answer:

radius is 62.04

Step-by-step explanation:

use the formula V=

[tex] v= \frac{4}{3} \pi {r}^{3} [/tex]

The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).

According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;

√(4-x²)/√(2-x) = √(4-x²)/(2-x)

Hence, the numerator can be evaluated by difference of two squares where;

(4-x²) = (2-x)(2+x)

Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).

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Answer:

sqrt 2+x

Step-by-step explanation:

The set is expressed using inequalities; [tex]0 < x\leq 3[/tex], option D is correct.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

The set be expressed using inequalities are;

[tex]0 < x\leq 3[/tex].

Thus, option D is correct.

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Answer:

See below

Step-by-step explanation:

An invalid solution.

When you use the quadratic formula, for example, to  solve for 't', time, you will often find one of the values of 't' to be  NEGATIVE value for time.....this would be an extraneous solution.      

   Sometimes when working with LOG equations you may fin an answer which is negative.....you cannot have a LOG of a negative number...THAT solution would be EXTRANEOUS

 ETC

SO, always check your answers to see if they 'work' for your problem.

The value of the w is 130.95

We have given that,

[tex]\frac{w}{13.5}=9.7[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}13.5[/tex]

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

[tex]\frac{13.5w}{13.5}=9.7\cdot \:13.5[/tex]

[tex]w=130.95[/tex]

Therefore the value of the w is 130.95.

The questions seem incomplete the complete question is

Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly? Kwan's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 times 13.5 = 130.95. Amala's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 minus 9.7 = 3.8. Sid's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 + 9.7 = 23.2. Joaquin's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 divided by 13.5 = 0.72. Mark this and return.

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Answer:A

Step-by-step explanation: i dont kno you tell me

Answer: [tex]-3y^3 -4[/tex]

Step-by-step explanation:

[tex]\frac{27y^4 + 36y}{-9y}=-3y^3 -4[/tex]

Answer:

`18. x=9

19. x=4

20. x=25,5

21. x=3

22. x=3,5

23. x=10

Step-by-step explanation:

Answer:

The equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.

Step-by-step explanation:

for more information check the above attachment

Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The functions are given as follows:

The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).

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Answer:

Hence, 3,40,000 can be expressed as [tex]$$3.4\times10^5$$[/tex]

Step-by-step explanation:

Step 1 of 1

Consider 3,40,000

3.4

So, 3.4 lies between 1 & 10

Now, Decimal has moved 5 places to left.

[tex]$3.4=10^{5}$[/tex]

So, 3,40,000=[tex]3.4 \times 10^{5}$[/tex]

The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)

We want to determine the two rational expressions whose difference completes the equation.

The two rational expressions will be;

(x + 2)/(x² - 36) and 1/(x² + 6x)

Now, this can be proved as follows;

Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]

= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]

Step 3; By subtracting, we have;

[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]

Step 4; By further simplification of step 3, we have;

[x² + x + 6]/[x(x-6)(x + 6)]

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Answer:

74.8 cm^2

Step-by-step explanation:

The figure is a parallelogram with base of 11cm and height of 6.8cm . To find the area, we multiply the base by the height to get 11 × 6.8 = 74.8 cm^2

By power properties the exponential expression [tex]\frac{8^{2\cdot m}}{8^{m^{2}}}[/tex] is only equivalent to [tex]8^{2\cdot m-m^{2}}[/tex]. (Correct choice: A)

In this question we must apply power properties to prove if a given expression have at least one equivalent. Now we proceed to show alternative forms:

[tex]\frac{8^{2\cdot m}}{8^{m^{2}}}[/tex]

[tex]8^{2\cdot m-m^{2}}[/tex]

By power properties the exponential expression [tex]\frac{8^{2\cdot m}}{8^{m^{2}}}[/tex] is only equivalent to [tex]8^{2\cdot m-m^{2}}[/tex]. (Correct choice: A)

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121.3 grams of caffeine is remaining in her blood

The given parameters are:

The amount of caffeine is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 175 * (1 - 11.5%)^t

At 3 hours, we have:

A(3) = 175 * (1 - 11.5%)^3

Evaluate

A(3) = 121.3

Hence, 121.3 grams of caffeine is remaining in her blood

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Answer:

d. The triangles are not similar because 6/13 ≠ 8/20.

Step-by-step explanation:

△ABC is similar to △DEF ,If the length of their corresponding sides are proportional.

ie : 6/13 = 8/20 = 10/25

Since , 6÷13 = 0.461538461538 ≠ 0.4 = 8÷20

Then

6/13 ≠ 8/20

Therefore , the triangles are not similar.

Q6: A, Árbol

Q7: D, nube

Q8: C, Viento

Q9: B,

Q10: D, Cielo

Q11: D, Hablarian

The next step Nolan should take is to find the average of the distances from the mean.

A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.

The steps to find mean absolute deviation are:

Hence, The next step Nolan should take is to find the average of the distances from the mean.

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